Plot by equation.

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ionescu andrei
ionescu andrei 2017-1-9
评论： Stephen23 2017-1-15
I have an equation for ploting;
x=1 to 10 nanometers ;
y=0.5 to 2 nanometers;
and k=1 to 10;(not nanometers it is a multiplication)
the equation is:
f=8.854187817.*(x.*x.*k.^2)/(y.*y);
and i need a plot for all k values from 1 to 10;
plot(f,k); ant this didn t work;

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Walter Roberson
Walter Roberson 2017-1-9
编辑：Walter Roberson 2017-1-9
x = linspace(1,10,15);
y = linspace(0.5,2,15);
k = linspace(1,10,15);
[X,Y,K] = meshgrid(x, y, k);
f = 8.854187817.*(X.*X.*K.^2)./(Y.*Y);
However, this is essentially 4D -- three input coordinates and one result. Even if you divide it up by k value, the result would be 3D for each k value, which would make it a bit difficult to plot everything at the same time. What kind of plots were you hoping for?
pointsize = 36;
scatter3(X(:),Y(:),K(:),pointsize,f(:))
or
slice(X,Y,K,f,[],[],k)
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Walter Roberson
Walter Roberson 2017-1-10
You can position on the three spatial dimensions, but for each combination of spatial dimensions you have a result that has to be plotted somehow. You cannot plot that as a 4th spatial dimension the way you can plot the height of a surface defined with two free parameters. You have to find another way to plot the 4th piece of information (the value of f). One way to do that is color; another way is to plot through time.
Mathematically, 3 input values plus one result is referred to as 4D, because you can itemize each output as a 4-tuple,
(x, y, k, f)
and mathematically "functions" are fundamentally tuples (formula are short-hand for listing all of the tuples.)
Stephen23
Stephen23 2017-1-15
ionescu andrei's "Answer" moved here:
but how i make k natural with values between 1 to 10?

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ionescu andrei
ionescu andrei 2017-1-15
and how can i se value of F in (f) the plot?

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